I think what you mean by "standard IP Routing mode," is this configuration:

Router:

interface <link to switch>

speed 100

full-duplex

encapsulation dot1q

no shutdown

Switch:

interface <uplink to router>

speed 100

full-duplex

switchport mode trunk

no shutdown

interface vlan 1

no ip address

shutdown

interface vlan <not VLAN 1>

ip address 192.168.0.1 255.255.255.0

no shutdown

If no other vlan is designated as native, VLAN 1 becomes the native VLAN by default. It should still send lldp even if it's shut down.

My guess is that you want to do subinterfaces to restrict traffic from the switch to the router. If you have a bigger goal than just seeing lldp, please post that along with a partial configuration from the router interface and the switch (uplinks, VLANs, anything else useful).